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Finding the Fourth Proportional to 30,475.92, 42,057.45 and 21,539.19

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Solution

The fourth proportional to 30,475.92, 42,057.45 and 21,539.19 is: 29,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.92 : 42,057.45 = 21,539.19 : x
  2. Step 2: Convert to fraction form
    30,475.92/42,057.45 = 21,539.19/x
  3. Step 3: Cross multiply
    30,475.92x = 42,057.45 × 21,539.19
  4. Step 4: Simplify right side
    30,475.92x = 905,883,406.47
  5. Step 5: Solve for x
    x = 905,883,406.47/30,475.92
  6. Step 6: Final answer
    x = 29,724.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.